Pure ECS transform.up equivalent

What is the way of figuring out a Transform.up and Transform.right equivalent in a pure ECS implementation?

I've had success using math.forward to calculate forward vectors from Unity's translation and position components; however, I've been unable to get vector offsets that take my entities rotation into account.

 

Just get it from LocalToWorldConponent

Code (CSharp):

1.  
2.    public struct LocalToWorld : IComponentData
3.    {
4.        public float4x4 Value;
5.  
6.        public float3 Right { get; }
7.        public float3 Up { get; }
8.        public float3 Forward { get; }
9.        public float3 Position { get; }
10.    }

 

Too easy, thank you!